I've not tried that level yet, since SP bores me, but I've done some googling and found a few things you could look at that will probalby help you out:
Video of a 21 turn game (gold star) with tips and tricks on how to beat the levels:
https://www.youtube.com/watch?v=oRTqwuORc28Key points that the video points out in its title screen:
1. Dont allow your 2 main frontline enemies to get stopped at any turn, otherwise you will not reach AI-4 in time to stop them from diplo-ing you.
2. You dont need the diplo cards, but it might help you save some armies you need to attack other AI's. Make sure you dont violate point 1.
A forum suggesting you dont use the diplo card at all:
https://www.warzone.com/Forum/164336-single-player-serfs-upVideo of a 45 turn game (it exists, but this is probably not really good, since it should only take ~25 turns):
https://www.youtube.com/watch?v=RKYq13yJJmkFor what its worth, this is the level in question (for anyone looking at this later):
https://www.warzone.com/singleplayer/level?ID=81